基于微分几何理论和自抗扰控制技术的励磁控制器设计

针对仿射非线性系统,通过微分几何坐标变换将系统非线性因素转换到含有控制输入的状态方程中.由于微分几何方法坐标变换本身是精确无误的,所以转换后的系统中,线性部分是精确的;系统参数的不确定、模型的不精确最终反映到转换后的非线性部分.利用自抗扰技术中的扩张状态观测器观测该部分的非线性摄动,通过反馈将其线性化并消除扰动.推导了单机无穷大系统的非线性励磁控制规律,在PSASP上进行仿真试验.理论论证和仿真试验证明该方案提高了非线性励磁控制的鲁棒性.

Excitation control design based on differential geometry theory and active disturbance rejection control

Uncertain nonlinear systems with unknown parameters are considered in this paper.At first a geometric coordinate transform are adopted.For the affine nonlinear system,the nonlinear element can be transformed into the state equation that contains control input by differential geometry method.Owing to the accuracy of differential geometry,in the transformed system,the linear parts are accurate,while the inaccuracy of model or parameter appears in the nonlinear parts.ADRC(Active Disturbance Rejection Control) proposed an innovative strategy to overcome uncertainty problem.We use Extended State Observer to estimate the perturbations and eliminate them by feedback.For the linear system,the control rules can be got via the mature linear system theory such as optimal theory. Based on that,the excitation control rules of one machine and infinite bus system are presented.The simulation carried out on PSASP shows that the presented method improves the robust of excitation control.